Prime Magic Square/Examples/Order 3/Smallest with Consecutive Primes

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Example of Order $3$ Prime Magic Square

This order $3$ prime magic square is the smallest whose elements are consecutive odd primes:


$\begin{array}{|c|c|c|} \hline 1 \, 480 \, 028 \, 159 & 1 \, 480 \, 028 \, 153 & 1 \, 480 \, 028 \, 201 \\ \hline 1 \, 480 \, 028 \, 213 & 1 \, 480 \, 028 \, 171 & 1 \, 480 \, 028 \, 129 \\ \hline 1 \, 480 \, 028 \, 141 & 1 \, 480 \, 028 \, 189 & 1 \, 480 \, 028 \, 183 \\ \hline \end{array}$


Proof


Also see


Historical Note

Harry Nelson found this prime magic square, in response to a challenge issued by Martin Gardner, thereby winning the prize offered of $\$100$.


Sources